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Finding the Fourth Proportional to 306,560.36, 459,918.30 and 96,200.12

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Solution

The fourth proportional to 306,560.36, 459,918.30 and 96,200.12 is: 144,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,560.36 : 459,918.30 = 96,200.12 : x
  2. Step 2: Convert to fraction form
    306,560.36/459,918.30 = 96,200.12/x
  3. Step 3: Cross multiply
    306,560.36x = 459,918.30 × 96,200.12
  4. Step 4: Simplify right side
    306,560.36x = 44,244,195,650.20
  5. Step 5: Solve for x
    x = 44,244,195,650.20/306,560.36
  6. Step 6: Final answer
    x = 144,324.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.